Regularity for minimizers of functionals with nonstandard growth by A-harmonic approximation

Habermann J, Zatorska-Goldstein A (2008)

Publication Type: Journal article

Publication year: 2008

Journal

Nodea-Nonlinear Differential Equations and Applications Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 15

Pages Range: 169-194

DOI: 10.1007/s00030-007-7007-7

Abstract

We prove partial regularity for minimizers of quasiconvex functionals of the type ∫Ωf(x,Du) dx with p(x) growth with respect to the second variable. The proof is direct and it uses a method of A-harmonic approximation. © 2008 Birkhaueser.

Authors with CRIS profile

Jens Habermann Naturwissenschaftliche Fakultät

Involved external institutions

University of Warsaw / Uniwersytet Warszawski PL Poland (PL)

How to cite

APA:

Habermann, J., & Zatorska-Goldstein, A. (2008). Regularity for minimizers of functionals with nonstandard growth by A-harmonic approximation. Nodea-Nonlinear Differential Equations and Applications, 15, 169-194. https://dx.doi.org/10.1007/s00030-007-7007-7

MLA:

Habermann, Jens, and Anna Zatorska-Goldstein. "Regularity for minimizers of functionals with nonstandard growth by A-harmonic approximation." Nodea-Nonlinear Differential Equations and Applications 15 (2008): 169-194.

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